Cuboid: Error Analysis & Misconceptions

Mathematics
GCSE Higher
11 questions
~22 mins
1 views0 downloads

About This Worksheet

A worksheet focusing on identifying and correcting common misconceptions related to the properties and calculations involving cuboids.

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Cuboid: Error Analysis & Misconceptions

Subject: MathematicsGrade: GCSE Higher
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Untitled Worksheet

Grade GCSE Higher
A

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the volume of a cuboid with length 8 cm, width 5 cm, and height 3 cm.
[2 marks]
2.
Find the surface area of a cuboid with length 10 cm, width 4 cm, and height 6 cm.
[3 marks]
3.
A cuboid has length 12 cm, width 7 cm, and height 5 cm. Calculate its volume.
[3 marks]
4.
A student mistakenly uses the formula for the surface area of a cube to find the surface area of a cuboid. Identify and explain the mistake.
[4 marks]
5.
A box measures 15 cm by 10 cm by 8 cm. The student claims its volume is 1280 cm^3. Is this correct? Explain.
[4 marks]
6.
Construct a cuboid on the grid with dimensions: length 9 cm, width 4 cm, height 7 cm. Show all dimensions clearly.
[3 marks]
7.
Calculate the missing dimension of a cuboid with surface area 344 cm^2, length 12 cm, width 8 cm. (Find height)
[3 marks]
8.
A cuboid has dimensions 10 cm, 6 cm, and an unknown height h. Its surface area is 284 cm^2. Find h.
[4 marks]
9.
Explain why using the formula V = l × w × h to find the volume of a cuboid is correct, but using the same formula to find surface area is incorrect.
[4 marks]
10.
A cuboid's length is mistakenly taken as the diagonal of the face. If the face dimensions are 6 cm by 8 cm, what is the error and correct approach?
[4 marks]
11.
A student calculates the volume as 300 cm^3 for a cuboid with dimensions 10 cm, 5 cm, and 6 cm, but writes 3000 in their answer sheet. What is the mistake?
[2 marks]

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Details

Created
1/1/2026
Updated
1/1/2026
Type
worksheet